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Please need help in algebra quick

Please need help in algebra quick-example-1

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Answer:

A

Explanation:

Take p = 3 for example. When p = 3, we get abs(8 - 9) = 1 which is not greater than 2. So we cannot have p = 3. This eliminates C and D.

To eliminate B, can we have a number that is both smaller than 2, as well as larger than 10/3? No, there is no such number that satisifies both of these. So the answer must be A, because we either want p to be less than or equal to 2 or greater than or equal to 10/3.

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